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Polyanin A., Manzhirov A.V. — Handbook of Mathematics for Engineers and Scientists
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Название: Handbook of Mathematics for Engineers and ScientistsАвторы: Polyanin A., Manzhirov A.V. Аннотация: The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2006Количество страниц: 600Добавлена в каталог: 30.06.2008Операции: Положить на полку |
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314 Abel convergence criterion functional series 349 Abel convergence criterion power series 341 Abel differential equation, first kind 462 Abel differential equation, first kind, canonical form 463 Abel differential equation, second kind 464 Abel differential equation, second kind, canonical form 465 Abel differential equations 462—465 Abel functional equation 914 Abel identity 902 Abel integral equation 1385 Abel integral equation generalized 1386 Abel integral equation, second kind 1392 Abel integral equation, second kind, generalized 1393 Abel theorem 343 411 Abel theorem, on convergence of power series 351 Abel transformation 345 Abel — Dini convergence criterion for series 341 Abel — Ruffini theorem 162 Abelian group 226 Abscissa axis 78 Abscissa of point 79 115 Absence of aftereffect 1075 Absolute convergence 342 Absolute convergence of infinite products 348 Absolute extremum 991 Absolute moment 1044 Absolute value of real number, xxx 8 Absolute value theorem 296 Absolute value theorem, double integral 318 Absolute value theorem, triple integral 325 Absolutely convergent functional series 348 Absolutely convergent infinite product 348 Absolutely convergent series 342 Acceleration of convergence of series 345 Acceleration vector 381 Acceptance region 1095 Acute triangle 43 Addition inverse hyperbolic functions 41 Addition inverse trigonometric functions 33 Addition theorem 1055 Addition, asymptotic series 364 Addition, hyperbolic functions 37 Addition, matrices 168 Addition, real numbers 6 Addition, trigonometric functions 28 Additive inverse of real number 6 Additive separable solution 571 596 597 678 Additively inverse matrix 169 Additivity of conditional expectation 1063 Adjoint matrix 170 Adjoint operator 206 Adjugate matrix 180 Adjusted sample variance 1088 Admissible controlled process 1010 Admissible element 1009 Admissible extremal 994 998 Admissible function 993 1002 1006 Affine coordinate system 190 Affine space 189 Affine space, axioms 189 Affine space, dimension 190 Affine space, point 189 Airy equation 955 Airy functions 477 955 Airy functions, first kind 955 Airy functions, second kind 955 Airy stress function 1295 Algebra 155 Algebra of sets 1032 Algebraic branch point 415 Algebraic curve 87 Algebraic curve on plane 87 Algebraic equation arbitrary degree 161 Algebraic equation binomial 161 Algebraic equation bounds for roots 163 Algebraic equation cubic 158 Algebraic equation fourth — degree 159 Algebraic equation incomplete cubic 158 Algebraic equation linear 157 Algebraic equation nth — degree 162 Algebraic equation quadratic 158 Algebraic equation reciprocal 160 161 Algebraic equation, complete cubic 159 Algebraic equation, discriminant 163 Algebraic equation, reciprocal modified 160 Algebraic equation, roots and coefficients 163 Algebraic equations 157—167 Algebraic multiplicity 209 Algebraic multiplicity, eigenvalue 184 Alternative Fourier transform 444 Alternative Fredholm 834 Alternative hypothesis 1094 Altitude, pyramid 63 Altitude, trapezoid 54 Altitude, triangle 46 Amplitude 973 Analogs Neper 73 Analysis sequential 1097 Analysis variance 1107 Analytic continuation 418 Analytic function 413 Analytic geometry 77 Angle between coordinate axes and segments 82 Angle between elements 193 Angle between lines in space 135 Angle between planes 137 Angle between straight line and plane 139 Angle between two straight lines 94 Angle between vectors 120 Angle bisector of triangle 45 46 Angle central 55 56 Angle dihedral 60 Angle edge 60 Angle external 43 Angle inscribed 56 Angle interior 43 Angle interior of polygon 51 Angle polar 80 Angle polyhedral 60 61 Angle solid 61 Angle trihedral 60 Angle trisectors 49 Angle, face 60 Angles in space 59 Angles symmetric polyhedral 61 Angular point 252 Annihilating polynomial 186 Annulus 58 Antagonistic game 1024 Antagonistic two-person zero-sum game 1024 Antagonistic two-person zero-sum game, minimax theorem 1026 Antiderivative 273 Antihermitian matrix 168 Antiperiodic functions 885 Antisymmetric matrix 168 Apex 67 Apex of pyramid 63 Apothem of regular pyramid 64 Appell transformation 1268 Applicable surfaces 395 Applicate of point 115 Approximation function 508 Approximation, best mean-square 1063 1066 Arbitrary curvilinear coordinate systems 1195 Arbitrary series 341 Arc geodesic 70 Arc length 390 Arc length differential 390 Arc regular 379 Arccosine, xxx 32 Arccotangent, xxx 32 Arcsine, xxx 31 Arctangent, xxx 32 Area polygon 83 Area triangle 83 Argument 236 Argument increment 992 Argument, complex number 400 Argument, variation 992 Arithmetic 3 Arithmetic mean 13 Arithmetic mean of functions 297 Arithmetic progression 11 Arithmetic root 8 Arithmetic sequence 11 Arithmetic series 11 Arm of hyperbola 101 Arrangement 1033 Arrangement with repetitions 1034 Artificial basic variables 1016 Ascending Landen transformation 975 Associated Legendre functions 964 965 Associated Legendre functions, first kind 965 Associated Legendre functions, second kind 965 Associated linear space of affine space 189 Associated vector 213 Associative composition law 225 Asymmetric form of Fourier cosine transform 445 Asymmetric form of Fourier sine transform 446 Asymmetric form of Fourier transform 444 Asymmetry coefficient 1045 Asymptote 241 374 Asymptote oblique 242 Asymptote vertical 242 Asymptotes 241 374 Asymptotes of hyperbola 101 Asymptotic cone 144 Asymptotic expansion 363 Asymptotic formulas, calculation of integrals 290 Asymptotic formulas, improper integrals with parameter 307 Asymptotic formulas, Laplace integrals of general form 292 Asymptotic formulas, Laplace integrals of special form 291 Asymptotic formulas, power Laplace integral 294 Asymptotic lines 393 Asymptotic point 373 Asymptotic properties of Fourier coefficients 359 Asymptotic series 363 Asymptotic series integration 365 Asymptotic series, addition 364 Asymptotic series, division 364 Asymptotic series, multiplication 364 Asymptotic series, Poincare type 363 Asymptotic series, subtraction 364 Asymptotic stability 546 549 Asymptotic zero 364 Asymptotically stable solution 546 Asymptotically unbiased estimator 1089 Attractive fixed point 908 Augmented matrix 198 Auto — Backlund transformations 663 Autocorrelation function 1072 Automorphic function 912 Automorphism of group 227 Autonomous equation 525 1207 1223 1225 Autonomous system, equilibrium point 545 Autonomous system, general form 1240 Autonomous system, ODEs 545 Averaging method 503 Axioms of affine space 189 Axis 77 Axis, coordinate of point 77 Axis, coordinate system 77 Axis, imaginary 401 Axis, imaginary of hyperbola 101 Axis, iteration 876 Axis, ordinate 78 Axis, polar 80 Axis, principal 152 Axis, principal of hyperbola 101 Axis, principal of second-order curve 109 Axis, real 235 Axis, semiminor of ellipse 98 Axisymmetric steady hydrodynamic boundary layer 712 Babbage equation 917 1416 1423 Backlund transformation 497 663—665 Backward Kolmogorov equation 1076 Backward substitution in Gaussian elimination method 200 Balanced transportation problem 1020 Ball 68 Banach problem 1038 Banach space 196 Bartlett test 1103 Base face of prism 61 Base, cylinder 65 Base, isosceles triangle 50 Base, natural (Napierian) logarithms 9 22 23 Base, pyramid 63 Base, spherical segment 69 Base, trapezoid 54 Basic columns 178 Basic equation of information theory 1440 Basic inequalities for mean values 13 Basic integrals 274 Basic matrix of linear system of algebraic equations 197 Basic minor 177 178 Basic properties inequalities 5 Basic properties, equalities 5 Basic rows 178 Basic variable 1015 Basic variable artificial 1016 Basis canonical 217 Basis linear space 189 Basis orthonormal 194 Bayes formula 1036 1063 Bellman equations 1028 Bellman optimality principle 1028 Bending 395 Bernoulli equation 458 1207 Bernoulli formula 1037 Bernoulli numbers 938 Bernoulli polynomials 891 988 Bernoulli process 1037 Bernoulli scheme 1037 Bernoulli theorem 1070 Bertrand convergence criterion for series 340 Bessel equation 1216 Bessel equation, modified 1216 Bessel formula 950 Bessel function 947 1216 Bessel function, first kind, xxxi 947 1216 Bessel function, second kind, xxxii 947 1216 Bessel function, third kind 952 Best mean-square approximation 1063 1066 beta function 945 Biangles, spherical 71 Biased estimator 1089 Bicylindrical coordinates 1204 Biharmonic equation 1297 Bilinear form 214 992 Bilinear form, degenerate 215 Bilinear form, Euclidean space 219 Bilinear form, finite-dimensional space 215 Bilinear form, matrix 215 Bilinear form, nondegenerate 215 Bilinear form, polar 216 Bilinear form, rank 215 Bilinear form, skew-symmetric 214 Bilinear form, symmetric 214 Bilinear functional 992
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